In the following diagram, \overline{BC}BCstart overline, B, C, end overline is parallel to \overline{DE}DEstart overline, D, E, end overline. What is the measure of \blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd?Angles are not necessarily drawn to scale.\blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd ==equals\Large{{}^\circ}∘degrees

Katie wants to collect over 100 seashells. she already has 34 seashells in her collection. each day, she finds 12 more seashells on the beach. katie can use fractions of days to find seashells. write an inequality to determine the number of days, dd, it will take katie to collect over 100 seashells.

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?

Evaluate f(x) when x = 3. f(x) = 16x? +2 if 6 < x < 9 112 if 9 x < 13 a: 110 b: 56 c: 74 d: 12